Solving bimatrix games with fuzzy payoffs by introducing Nature as a third player

被引：32
作者：
Larbani, Moussa [1 ,2 ]
机构：
[1] Kianan Univ, Dept Business Adm, Luchu 33857, Taoyuan County, Taiwan
[2] HUM Univ, Fac Econ & Management Sci, Dept Business Adm, Jalan Gombak 53100, Malaysia
来源：
FUZZY SETS AND SYSTEMS | 2009年 / 160卷 / 05期
关键词：
Bimatrix game; Fuzzy payoff; Belief; Fuzzy intervals; Nash equilibrium; ZERO-SUM GAMES; EQUILIBRIUM STRATEGY; MATRIX GAMES;
D O I：
10.1016/j.fss.2008.06.010
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The paper elaborates on the fuzzy bimatrix games. The payoffs are assumed to be fuzzy intervals with bounded support as defined by Dubois and Prade. A new equilibrium concept is defined for this game by introducing 'Nature' as a third player and using alpha-cuts. Sufficient conditions for its existence and a procedure for its computation are provided, (C) 2008 Elsevier B.V. All rights reserved.
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页码：657 / 666
页数：10
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